The manufacturer of the low-calorie dairy drink desires to compare the taste appeal of new formula (formula B) with that of standard formula (formula A). Each of three judges is given 3 glasses in random order, two containing formula A and other containing formula B. Each judge is asked to state which glass he most enjoyed. Assume that two formulas are equally attractive. Let X be the number of judges stating preference for the new formula?A).
1. Mention all the elements of the sample space (S).
2. Determine the probability distribution for a random variable X.
3. Determine the probability that at least two of the judges state a preference for a formula A?
4. Determine the expected value of the random variable X.
5. Determine the standard deviation of a random variable X.